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D"},"headline":"A013611 \u2192 D","chain":null}}],"oeis":[],"bfiles":[],"oeis_texts":[{"oeis_id":"","target":"node","first_row":1,"oeis_offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false,"rows_shown":10,"polytool_commit":"c48629374597092cc41ef4d6273f37991516f984","triangle_example":"Triangle begins:\n   1:  1;\n   2: -1,  -4;\n   3:  1,   8,   16;\n   4: -1, -12,  -48,   -64;\n   5:  1,  16,   96,   256,    256;\n   6: -1, -20, -160,  -640,  -1280,   -1024;\n   7:  1,  24,  240,  1280,   3840,    6144,    4096;\n   8: -1, -28, -336, -2240,  -8960,  -21504,  -28672,  -16384;\n   9:  1,  32,  448,  3584,  17920,   57344,  114688,  131072,   65536;\n  10: -1, -36, -576, -5376, -32256, -129024, -344064, -589824, -589824, -262144;\n","recurrence_sentence":"The row polynomials satisfy P(n,x) = -(1+4*x)*P(n-1,x) for n >= 2, with P(1,x) = 1.","mathematica":"P[1, x_] := 1;\nP[n_, x_] := P[n, x] = Expand[-(1 + 4*x)*P[n - 1, x]];\nTable[CoefficientList[P[n, x], x], {n, 1, 10}] // Flatten","pari":"P(N) = {my(v = vector(N)); v[1] = 1; for(n = 2, N, my(i = n); v[i] = -(1 + 4*x)*v[i - 1]); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i, v[i])))};\nT(10)","reading":{"first_row":1,"offset":1,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-3cc7875cf81a5a84","steps":["basis A013611"],"edges":["e-f6ed0d45ba75837f"],"text":"basis-map coefficients of A026729, shifted \u2192 basis A013611"},"headline":"basis-map coefficients of A026729, shifted \u2192 basis A013611","chain":null}